Results 31 to 40 of about 18,741 (91)

On the Closed Range Weighted Composition–Differentiation Operator

Complex Analysis and Operator Theory
We provide a number of conditions which characterize the closed range weighted composition–differentiation operator D(u,ψ,n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Tesfa Mengestie
semanticscholar   +1 more source

Nonlinear Estimates in Anisotropic Gevrey Spaces [PDF]

, 2003
2002 Mathematics Subject Classification: 35G20, 47H30We introduce scales of Banach spaces of anisotropic Gevrey functions depending on multidimensional parameters.
Cadeddu, Lucio, Gramchev, Todor
core  

Spectral multiplier theorems and averaged R-boundedness [PDF]

, 2016
Let $A$ be a $0$-sectorial operator with a bounded $H^\infty(\Sigma\_\sigma)$-calculus for some $\sigma \in (0,\pi),$ e.g. a Laplace type operator on $L^p(\Omega),\: 1 < p < \infty,$ where $\Omega$ is a manifold or a graph.
Kriegler, Christoph, Weis, Lutz
core  

Limiting Sobolev inequalities for vector fields and canceling linear differential operators

, 2011
The estimate [\lVert D^{k-1}u\rVert_{L^{n/(n-1)}} \le \lVert A(D)u \rVert_{L^1} ] is shown to hold if and only if (A(D)) is elliptic and canceling. Here (A(D)) is a homogeneous linear differential operator (A(D)) of order (k) on (\mathbb{R}^n) from a ...
Van Schaftingen, Jean
core   +1 more source

Fredholm Weighted Composition Operator on Weighted Hardy Space

, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
semanticscholar   +1 more source

Besov regularity for operator equations on patchwise smooth manifolds [PDF]

, 2014
We study regularity properties of solutions to operator equations on patchwise smooth manifolds $\partial\Omega$ such as, e.g., boundaries of polyhedral domains $\Omega \subset \mathbb{R}^3$. Using suitable biorthogonal wavelet bases $\Psi$, we introduce
Dahlke, Stephan, Weimar, Markus
core  

Abstract. In this paper we consider the Nemytskii operator [PDF]

(t) = h(t, f(t)), generated by a given set–valued function h is considered. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded p-variation (with respect to a weight function α) into the space of set-valued ...

core  

Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation

, 2011
We associate to a parametrized family $f$ of nonlinear Fredholm maps possessing a trivial branch of zeroes an {\it index of bifurcation} $\beta(f)$ which provides an algebraic measure for the number of bifurcation points from the trivial branch.
Pejsachowicz, Jacobo
core  

Convergence estimates for some composition operators

Constructive Mathematical Analysis
There are different methods available in literature to construct a new operator. One of the methods to construct an operator is the composition method.
Vijay Gupta
semanticscholar   +1 more source

Regularity of weak solutions of the compressible isentropic Navier-Stokes equation

, 2010
Regularity and uniqueness of weak solution of the compressible isentropic Navier-Stokes equations is proven for small time in dimension $N=2,3$ under periodic boundary conditions.
Haspot, Boris
core